PARADISE'LOST? hope - these difficulties will have been cleared up? Only a prophet or the seventh son of a prophet sticks Ms head into the noose of prediction. But if there is any continuity at all in the evolution of'mathematics - and the majority of dispassionate observers believe that there is - we shall find that the mathe- matics which is to come will be broader, firmer, and richer in content than that which we or our predecessors have known. Already the controversies of the past third of a century have added new fields - including totally new logics - to the vast domain of mathematics, and the new is being rapidly consoli- dated and co-ordinated with^the old. If we may rashly venture a prediction, what is to come will be fresher, younger in every . respect, and closer to human thought and human needs - freer of appeal for its justification to extra-human 'existences' - than what is now being vigorously refashioned. The spirit of mathe- matics is • eternal youth. As Cantor said, 6The essence of mathe- matics resides in its freedom*; the present 'revolution' is but another assertion of that freedom.